Crystal Lab › Prototype structures › Orthorhombic
θ-Zr₂CuAu AuCuZr₂
Orthorhombic · space group Pmmn (No. 59) · Pearson oP8
Symmetry elements and Wyckoff positions (interactive)
θ-Zr₂CuAu in Pmmn
SettingUnit cell
- Lattice constants
- a = 4.480 Å, b = 5.650 Å, c = 4.600 Å; α = 90.00°, β = 90.00°, γ = 90.00°
- Cell volume
- 116.4 ų
- Atoms in the conventional cell
- 8 (Al 2, Cu 2, Zn 4)
- Formula units Z
- 2
- Pearson symbol
- oP8 — orthorhombic, primitive lattice, 8 atoms per conventional cell
- Symmetry operations
- 8 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Al1 | Al | 2a | 2 | 0.2500 | 0.2500 | 0.8280 |
| Cu2 | Cu | 2b | 2 | 0.2500 | 0.7500 | 0.8280 |
| Zn3 | Zn | 4e | 4 | 0.2500 | 0.5000 | 0.3280 |
The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 8 atoms drawn above are these sites multiplied by all 8 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.
How to read the label
ABC2_oP8_59_a_b_e-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol oP8, then the space-group number 59, then the Wyckoff letters occupied by each element in turn (Al: 2a; Cu: 2b; Zn: 4e). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Cu₃Al <!--beginning with an
Note: \theta-Zr₂CuAu.
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry ABC2_oP8_59_a_b_e-001 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.
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